Properties of Finite Sets and Venn Diagrams

Properties of Finite Sets and Venn Diagrams

Secondary 4

It is given that \(\xi = \{x : x \text{ is a whole number and}\hspace{0.5em} 0 < x < 13\}\), \(P = \{x : x \text{ is a multiple of}\hspace{0.5em} 6\}\) and \(Q = \{x : x \text{ is an even number}\hspace{0.15em}\}\).

  1. List the elements of \(Q\).
  2. Draw a clearly labelled Venn diagram to illustrate the information.
  3. Copy the Venn diagram in (b) and shade the region that represents \(P \cup Q'\).
  4. Find the number of elements in \(P \cup Q'\).

Video Solution:

Video Solution

Video solution locked

Solution:

Solution locked

Sign in to view the step-by-step solution

Finding similar questions...
Answer:(a) \(Q=\{2,4,6,8,10,12\}\) (b) \(P=\{6,12\}\) inside \(Q\), \(Q\) only \(=\{2,4,8,10\}\), outside \(Q=\{1,3,5,7,9,11\}\) (c) Shade \(P\) and \(Q'\). (d) \(8\)

Need help? Join our JC Math tuition classes.

Learn more